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Finding the Third Proportional to 505,304.44 and 1,094,725.13

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Solution

The third proportional to 505,304.44 and 1,094,725.13 is: 2,371,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,304.44 : 1,094,725.13 = 1,094,725.13 : x
  2. Step 2: Convert to fraction form
    505,304.44/1,094,725.13 = 1,094,725.13/x
  3. Step 3: Cross multiply
    505,304.44x = 1,094,725.13 × 1,094,725.13
  4. Step 4: Simplify right side
    505,304.44x = 1,198,423,099,306.27
  5. Step 5: Solve for x
    x = 1,198,423,099,306.27/505,304.44
  6. Step 6: Final answer
    x = 2,371,685.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.